QUOTE (chiuchimu @ Aug 25 2009, 04:08 PM)

I've also taken physics. But I never got a good answer from my professors on this.
Lets suppose for the sack of argument, the early moon was ejected from a body colliding with the earth and both maintained stable orbits. Earth around the sun and moon around the earth. At this stage it is obvious that both are not nice round spheres, specially the moon - all physicist agree on this. It is over time as dust particles and asteroids collide with earth and moon that they grow round.
Since each collision, no matter how small or large, imparts mass and velocity to a body, How could such an accumulation of matter, enough to make the moon and earth round, not change the orbit? Achieving orbit is a tricky situation. It requires the perfect balance of,initial velocity, mass and angle relative to another body otherwise, the object will escape into space or fall back to earth. Achieving orbit for non controlled bodies is like throwing a coin and having it land on its edge. One could argue that since particles come from all directions equally, the net effect is zero in changing the moons orbit. BUT, such arguments do not take into consideration the moons rotation. The moon rotates in such a way as to always face the earth on one side. We always see the same face of the moon. So, all participles striking the moon have a clean shot on the far side but no particle can strike the moon on the near side since the earth is in the way. And yet the remains of asteroid collisions are plainly visible on the near side. Did the moons rotation suddenly change when earth developed its oceans? That would explain how impact to the near side of the moon could have occurred but having the moon slow down from the time earth developed its oceans is really a small amount of time considering earths age.
Maybe the peaces don't fit because the theory is wrong.
I've argued this with my professor and the answer I got is "we can't fully prove all the details concerning any theory until we get more data".
both moon and earth are not perfectly smooth and spherical because there are craters, mountains, and tidal force, which sometime, caused it to alter its shape a little bit.
however, at a distance, we can perfectly see it as spherical rounded-body.
and it's round because of the effect of its own center of gravity and the velocity massive objects spin.
i guess you talked about the bombardment period, where asteroids and comets colliding into earth and moon, which had many craters in the moon's geological surface.
remembered that objects (ie, planets) that closer to its primary body (ie, sun), the planets will orbit around the sun faster than body further away. hence, the effect of asteroid and comet impact doesn't change earth's orbit around the sun because of the effect of sun's gravity pulling it in the same elliptical orbit.
however, the effect of a secondary gravitational pull (like our moon's tidal force) can effect earth's axis of rotation. likewise, earth's gravitational force effects the moon's rotation.
furthermore earth and moon used to spin much faster than today, but because of the moon's own gravity, earth had been slowing down dramatically and moon's rotation also slowed down by earth's gravity.
so now, we have this 24hrs day on earth, instead of, lets say 48hrs day.
regrading why the moon predominantly showed one-side of its face to observers on earth, it's due to tidal locking.
as the moon is rotating, earth's tidal force squeezed and locked the saggy part of the moon surface because it's closer and has lower gravity, so the effect get pulled harder by earth.
therefore, whenever moon and earth rotate on its axis, earth's stronger gravitational pull created tide on moon causing one-side face to always face us.
just as the moon's creates tide on earth, like we see as tidal wave rises when one earth's hemisphere closer to the moon.